Answer:
x=4
Step-by-step explanation:
We can use the leg rule
hyp leg
------- = -----------------
leg part
2+6 x
------- = -----------------
x 2
Using cross products
8*2 = x^2
16 =x^2
Take the square root of each side
4 =x
Answer:
20) yes
21) -1
22) 1
23) -4
Step-by-step explanation:
Answer:
0.25 feet per minute
Step-by-step explanation:
Gravel is being dumped from a conveyor belt at a rate of 20 ft3/min. Since we are told that the shape formed is a cone, the rate of change of the volume of the cone.


Since base diameter = Height of the Cone
Radius of the Cone = h/2
Therefore,


Therefore: 
We want to determine how fast is the height of the pile is increasing when the pile is 10 feet high.

When the pile is 10 feet high, the height of the pile is increasing at a rate of 0.25 feet per minute
Answer: the number of item A that you sold is 11
the number of item B that you sold is 2
Step-by-step explanation:
Let x represent the number of item A that you sold.
Let y represent the number of item B that you sold.
The total number of item A and item B sold is 13. This means that
x + y = 13
The cost of item A is $8 and the
cost of item B is $4. The total amount if money made is $88. This means that
8x + 4y = 88 - - - - - - - - - -1
Substituting x = 13 - y into equation 1, it becomes
8(13 - y) + 4y = 88
104 - 8y = 88
8y = 104 - 88 = 16
y = 16/8 = 2
x = 13 - y = 13 - 2 = 11
Answer:
Step-by-step explanation: